ffirs.indd

Direct Long Division 159
places. (Always add one more 0 than the number of decimal places
required.) Our problem now looks like this:
32
–2
30 43.000
We divide 3 into 4 for an answer of 1 with 1 remainder, which we
carry to the 3, making 13. Th en we multiply the answer, 1, by –2
to get an answer of –2. Take this 2 from our working number, 13,
to get 11.
How many times will 3 divide into 11? Th ree times 3 is 9, so the
answer is 3 times, with 2 remainder. Th e 2 remainder is carried to
the next digit, making 20.
32
–2
1 3
30 4^1 3.^20
We adjust the 20 by multiplying: 3 × –2 = –6. Th en we subtract.
20 – 6 = 14
We now divide 14 by 3. Th ree divides into 14 four times, with 2
remainder. Four is the next digit of our answer.
32
–2
1 3. 4
30 4^1 3.^2020
Multiply the last digit of the answer, 4, by the 2 of 32, to get 8.
Th en:
20 – 8 = 12
Th ree divides into 12 exactly 4 times with no remainder.